inappropriate?!

We went to a funeral last night. My co-worker’s (the one who gives me a ride home) father died. While it was IFC’s first time to have attended such, it was also my 1st time to have seen a traditional Korean funeral service. They spoke in their language. We didn’t even comprehend anything of what were said. We were there to pay respect anyway. IFC felt so out of place as he was only wearing jeans and white shirt and most people were wearing a black coat. I told him my co-worker would understand as he just came from work. I'm sure my co-worker has appreciated seeing us. I understand his position though...